Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 8R

Explanation of Solution

Asymptotic growth rate:

According to asymptotic growth rate, the given functions are ordered as follows:

210,2logn, 3n+100logn, 4n, nlogn, 4n logn+2n, n2+10n, n3, and 2n

Explanation:

The above is ordered from least to greatest based on the asymptotic functions.

  • 210” is the constant time so, it is ordered first.
  • Next, “2logn” is linear “O(n)” according to the definition of log.
  • 3n+100logn” is “O(n)”.
  • 4n” is also same as the “O(n)” but larger than the “3n+100logn” term because “4n” term is higher than the “3n” term.
  • nlogn” belongs to order of “O(n logn)

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Data Structures and Algorithms in Java

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